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Spectral gap of 1D quantum Gibbs samplers

Wednesday 09:00 Los Angeles (GMT-7)

Recording available

Berkeley, United States
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Recording

57 min

Abstract

Quantum Gibbs samplers generalize classical thermalization dynamics such as Glauber and Metropolis processes. This talk shows that one-dimensional, short-range quantum Hamiltonians admit samplers with an optimal spectral gap independent of system size at every finite temperature.

Topics

Quantum Gibbs samplersclassical thermalization dynamicsMetropolis processesspectral gapfinite temperature